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Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC <strong>Multiagent</strong> <strong>Systems</strong>, WS 06/07 300/731<br />

4. Decision Making (2) 2. Tactical Voting<br />

Definition 4.15 (Mechanism as an Implementation)<br />

Let A and O be fixed. Let a social choice function C ∗ be<br />

given.<br />

We say that a mechanism 〈Act, M〉 implements the<br />

function C ∗ in dominant strategies, if for all utility profiles<br />

µ the game 〈N, A, O, M, µ〉 has an equilibrium in dominant<br />

strategies and for any equilibrium 〈s ∗ 1, s ∗ 2, . . . , s ∗ n〉 we have:<br />

M(〈s ∗ 1, s ∗ 2, . . . , s ∗ n〉) = C ∗ (µ)

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